Progressive Waves: Phase and Path Difference · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Reading waves and their phase gaps

Science · Waves, Light & Sound · ages 16-17
Name ______________________   Date ____________
  1. A progressive wave carries matter along with the energy.

    Circle one:   True   False

  2. Which graph gives the wavelength?

    • Displacement against distance
    • Displacement against time
    • Force against distance
  3. Two points sit a quarter wavelength apart. What is their phase difference?

    • 180 degrees
    • 90 degrees
    • 360 degrees
  4. The path difference is half a wavelength. How do the waves arrive?

    • In antiphase
    • In phase
    • At double amplitude
  5. Two points are three quarters of a wavelength apart. Give the phase gap in degrees.

    Answer: ______________

  6. The path gap is one full wavelength. How do identical waves arrive?

    • In antiphase
    • With zero amplitude
    • In phase, crest to crest
  7. A path difference of 1.5 wavelengths arrives. Whole cycles stay in phase. Give the extra phase beyond full cycles in degrees.

    Answer: ______________

  8. Two points sit a quarter of a wavelength apart on a wave. Are they in phase?

    • Yes, all neighbours are in phase
    • Yes, quarter gaps are antiphase
    • No, they differ by 90 degrees
LightMySky · lightmysky.comW1-mt_RotpycCNF8-s1

Answer key

For grown-ups. Fold this page away before handing over the rest.

Reading waves and their phase gaps W1-mt_RotpycCNF8-s1

  1. False · Only the disturbance travels; the medium bobs in place.
  2. Displacement against distance · Wavelength is a length, so it comes from the distance graph.
  3. 90 degrees · A quarter of 360 degrees is 90 degrees.
  4. In antiphase · Half a wavelength is 180 degrees, crest onto trough.
  5. 270 · Three quarters of 360 is 270 degrees.
  6. In phase, crest to crest · Whole cycles line up, so crests meet crests.
  7. 180 · One full cycle cancels out, leaving half a cycle: 180 degrees.
  8. No, they differ by 90 degrees · Only whole wavelength gaps are in phase; a quarter gap is 90 degrees out.
Worksheet · LightMySky